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Finding the Third Proportional to 832,658.06 and 1,730,767.50

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Solution

The third proportional to 832,658.06 and 1,730,767.50 is: 3,597,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,658.06 : 1,730,767.50 = 1,730,767.50 : x
  2. Step 2: Convert to fraction form
    832,658.06/1,730,767.50 = 1,730,767.50/x
  3. Step 3: Cross multiply
    832,658.06x = 1,730,767.50 × 1,730,767.50
  4. Step 4: Simplify right side
    832,658.06x = 2,995,556,139,056.25
  5. Step 5: Solve for x
    x = 2,995,556,139,056.25/832,658.06
  6. Step 6: Final answer
    x = 3,597,582.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.